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638138232 = 233243533889
BaseRepresentation
bin100110000010010…
…011011101111000
31122110202210002100
4212002103131320
52301330410412
6143153303400
721546041214
oct4602233570
91573683070
10638138232
112a8237776
12159864b60
13a228cbb4
1460a73944
153b052edc
hex26093778

638138232 has 96 divisors (see below), whose sum is σ = 1802314800. Its totient is φ = 203793408.

The previous prime is 638138219. The next prime is 638138239. The reversal of 638138232 is 232831836.

638138232 is a `hidden beast` number, since 638 + 13 + 8 + 2 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (638138239) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162144 + ... + 166032.

Almost surely, 2638138232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 638138232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901157400).

638138232 is an abundant number, since it is smaller than the sum of its proper divisors (1164176568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

638138232 is a wasteful number, since it uses less digits than its factorization.

638138232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3997 (or 3990 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 638138232 is about 25261.3980610733. The cubic root of 638138232 is about 860.9374274154.

The spelling of 638138232 in words is "six hundred thirty-eight million, one hundred thirty-eight thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 53 72 86 106 129 159 172 212 258 318 344 387 424 477 516 636 774 954 1032 1272 1548 1908 2279 3096 3816 3889 4558 6837 7778 9116 11667 13674 15556 18232 20511 23334 27348 31112 35001 41022 46668 54696 70002 82044 93336 140004 164088 167227 206117 280008 334454 412234 501681 618351 668908 824468 1003362 1236702 1337816 1505043 1648936 1855053 2006724 2473404 3010086 3710106 4013448 4946808 6020172 7420212 8863031 12040344 14840424 17726062 26589093 35452124 53178186 70904248 79767279 106356372 159534558 212712744 319069116 638138232